P, Q and R start a hotel.Q and R invest equally but P invests one-fifth of the total investment amount.On getting profit of Rs.225000,how much would be difference between profit of P and R?Rs.90,000Rs.45,000Rs.71,000Rs.1,12,500

Let's solve this step by step:

Step 1: Let's assume the total investment is x. According to the problem, P invests one-fifth of the total investment. So, P's investment is x/5.

Step 2: Q and R invest equally, and their combined investment is the remaining of the total investment, which is x - x/5 = 4x/5. Since they invest equally, each of their investments is (4x/5)/2 = 2x/5.

Step 3: The profit is divided in the ratio of their investments. So, the ratio of P's investment to R's investment is (x/5) : (2x/5) = 1 : 2.

Step 4: The total profit is Rs. 225000. P's share of the profit is 1/3 of the total profit, which is Rs. 75000 (because the total ratio is 1+2=3, and P's part is 1). R's share of the profit is 2/3 of the total profit, which is Rs. 150000.

Step 5: The difference between the profit of P and R is Rs. 150000 - Rs. 75000 = Rs. 75000.

So, none of the given options are correct. The difference between the profit of P and R would be Rs. 75000.

Let's solve this step by step:

Step 1: Let's assume the total investment is x. According to the problem, P invests one-fifth of the total investment. So, P's investment = x/5.

Step 2: Q and R invest equally, and their combined investment is 4/5 of the total (since P has invested 1/5). So, each of Q and R invests (4x/5)/2 = 2x/5.

Step 3: The profit is divided in the ratio of their investments. So, the ratio of P's investment to R's investment is (x/5) : (2x/5) = 1:2.

Step 4: The total profit is Rs. 225000. P's share of the profit is 1/3 of the total (since the ratio is 1:2), and R's share is 2/3 of the total.

Step 5: So, P's profit = (1/3)*225000 = Rs. 75000, and R's profit = (2/3)*225000 = Rs. 150000.

Step 6: The difference between R's profit and P's profit is Rs. 150000 - Rs. 75000 = Rs. 75000.

So, none of the given options are correct. The difference between the profit of P and R would be Rs. 75000.